Cantilevered electromagnetic actuators are simple on structure and operation, while its mobility region is strictly limited due to pull-in instability. To extend the mobility region, a novel open loop oscillatory control method which does not need sensors has been presented. In this method, although the current applied to the coil is usually a direct current, an alternating current is superimposed onto the direct current. However, the vibration is generated in the magnet by applying an alternating current. Then, in this study, we adjust the input alternating current to control the vibration. Therefor we use numerical simulation to examine the relation between input frequency and pull-in instability to get critical frequency. In addition, we examine the relation between the input frequency and the amplitude of magnet confirming the simulation result by the experiment.